| Full text | |
| Author(s): |
Li, Haoyu
;
Miyagaki, Olimpio Hiroshi
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 539, n. 2, p. 11-pg., 2024-07-05. |
| Abstract | |
In this paper, we study the sign-changing radial solutions of the following coupled Schrodinger system {-Delta u(j) + lambda(j)u(j) = mu(j)u(j)(3) + Sigma(i not equal j) beta(ij)u(i)(2)u(j) in B-1, u(j) is an element of H-0,1(r)(B-1) for j = 1, ..., N. Here, lambda(j), mu(j) > 0 and beta(ij)= beta(ji) are constants for i, j = 1, ..., N and i not equal j. B-1 denotes the unit ball in the Euclidean space R-3 centred at the origin. For any P-1, ..., P-N is an element of N, we prove the uniqueness of the radial solution (u(1), ..., u(j)) with u(j) changes its sign exactly P-j times for any j = 1, ..., N in the following case: lambda(j) >= 1 and vertical bar beta(ij)vertical bar are small for i, j = 1, ..., N and i not equal j. New Liouville-type theorems and boundedness results are established for this purpose. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU) | |
| FAPESP's process: | 22/16407-1 - TESdE: Thematic on Equations and Systems of differential Equations |
| Grantee: | Ederson Moreira dos Santos |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 22/15812-0 - A Proposal on Varational Methods to Elliptic Systems |
| Grantee: | Haoyu Li |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |